Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
30th March 1998
- 1Histograms2 marks
On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2Bounds3 marks
A block has mass 500 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3Algebraic Fractions3 marks
Write 4/(x - 4) + 6/(x + 4) as a single fraction.
- 4Velocity Time Graphs3 marks
A cyclist speeds up steadily from 3 m/s to 13 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
- 53d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 15 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
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